Answer:
Length of the resort pool is 13.5 ft.
Step-by-step explanation:
Since, both the rectangular pools are similar in shape,
Corresponding sides of these pools will be proportional.
By the property of similarity,


l = 
l = 13.5 ft
Therefore, length of the resort pool will be 13.5 ft.
Based on gas laws:
PV/T = Constant, P = Pressure, V = volume, T = Temperature (K)
Therefore,
P1V1/T1 = P2V2/T2
P1 = 10 psig
V1 = 10 in^3
T1 = 65°F = 291.483 K
P2 = ?
V2 = 1.5 in^3
T2 = 180°F = 355.372 K
Rearranging the equation,
P2 = P1V1T2/T1V2 = (10*10*355.372)/(291.483*1.5) = 81.279 psig
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
The answer is
3m-n
———
2n
Because the numerator can’t be simplified in a way to cancel out n or the 2.